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Stability of Singular Fractional Systems of Nonlinear Integro-Differential Equations

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Abstract

In this paper, we study singular fractional systems of nonlinear integro-differential equations. We investigate the existence and uniqueness of solutions by means of Schauder fixed point theorem and using the contraction mapping principle. Moreover, we define and study the Ulam-Hyers stability and the generalized Ulam-Hyers stability of solutions. Some applications are presented to illustrate the main results.

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Authors and Affiliations

  1. LPAM, Faculty ST, UMAB University of Mostaganem, Mostaganem, Algeria

    Amele Taïeb

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  1. Amele Taïeb
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Correspondence to Amele Taïeb.

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(Submitted by A. M. Elizarov)

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Taïeb, A. Stability of Singular Fractional Systems of Nonlinear Integro-Differential Equations. Lobachevskii J Math 40, 219–229 (2019). https://doi.org/10.1134/S1995080219020148

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  • DOI: https://doi.org/10.1134/S1995080219020148

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